Details

Time bar (total: 7.9s)

analyze932.0ms (11.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
43.7%46.8%9.5%7
46.8%42.1%11%8
46.8%36.7%16.5%9
48.4%34%17.7%10
48.4%31%20.6%11
49.2%29.6%21.3%12
49.2%28%22.8%13
49.6%27.3%23.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample143.0ms (1.8%)

Algorithm
intervals
Results
46.0ms79×body1024invalid
21.0ms195×body128valid
13.0ms27×body512valid
13.0ms20×body1024valid
12.0ms37×body512invalid
8.0ms14×body256valid
4.0ms18×body256invalid
4.0ms32×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify93.0ms (1.2%)

Algorithm
egg-herbie
Rules
694×fma-neg_binary64
544×times-frac_binary64
474×fma-def_binary64
461×associate-/l*_binary64
377×div-sub_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11611
23711
37611
416611
539011
6110911
7371711
8473811
9494711
10491011

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
12.3b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(sinh.f64 y)
0.1b
(*.f64 (sin.f64 x) (sinh.f64 y))
12.2b
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series136.0ms (1.7%)

Counts
4 → 64
Calls

4 calls:

67.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
46.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
20.0ms
(sinh.f64 y)
3.0ms
(sin.f64 x)

rewrite23.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
4 → 64
Calls

4 calls:

8.0ms
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
7.0ms
(*.f64 (sin.f64 x) (sinh.f64 y))
2.0ms
(sin.f64 x)
2.0ms
(sinh.f64 y)

simplify170.0ms (2.1%)

Algorithm
egg-herbie
Rules
986×times-frac_binary64
815×fma-def_binary64
297×cancel-sign-sub-inv_binary64
154×fma-neg_binary64
153×sub-neg_binary64
Counts
128 → 134
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02212281
15902089
220631996
347061996
450181996

prune177.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1268134
Fresh000
Picked101
Done000
Total1278135
Error
0.0b
Counts
135 → 8
Alt Table
StatusErrorProgram
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
12.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
37.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
12.9b
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
0.5b
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
12.3b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
12.7b
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))) (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))))
Compiler

Compiled 2451 to 1086 computations (55.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(/.f64 (sinh.f64 y) x)
0.0b
(sinh.f64 y)
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

series116.0ms (1.5%)

Counts
2 → 48
Calls

2 calls:

65.0ms
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
50.0ms
(/.f64 (sinh.f64 y) x)

rewrite26.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*l*_binary64
Counts
2 → 64
Calls

2 calls:

14.0ms
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
5.0ms
(/.f64 (sinh.f64 y) x)

simplify176.0ms (2.2%)

Algorithm
egg-herbie
Rules
475×fma-neg_binary64
396×associate-*l*_binary64
351×associate-/l*_binary64
321×associate-*l/_binary64
319×associate-*r*_binary64
Counts
112 → 121
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01862017
14821865
213551682
344261676
449951676
549601676

prune214.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1543157
Fresh437
Picked011
Done000
Total1587165
Error
0b
Counts
165 → 7
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
12.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
37.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
0.1b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
12.3b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
18.3b
(*.f64 (/.f64 (sinh.f64 y) x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
Compiler

Compiled 2600 to 967 computations (62.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(sinh.f64 y)
0.1b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
0.1b
(/.f64 (sin.f64 x) x)

series80.0ms (1%)

Counts
2 → 28
Calls

2 calls:

74.0ms
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
6.0ms
(/.f64 (sin.f64 x) x)

rewrite23.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 65
Calls

2 calls:

11.0ms
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
5.0ms
(/.f64 (sin.f64 x) x)

simplify155.0ms (2%)

Algorithm
egg-herbie
Rules
765×fma-def_binary64
389×associate-*l/_binary64
377×associate-*l*_binary64
360×associate-/l*_binary64
358×associate-*r/_binary64
Counts
93 → 120
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01801681
14521557
214671545
344661539
449931539

prune200.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1560156
Fresh055
Picked011
Done011
Total1567163
Error
0b
Counts
163 → 7
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
12.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
37.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
0.1b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
12.3b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
18.3b
(*.f64 (/.f64 (sinh.f64 y) x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
Compiler

Compiled 2519 to 920 computations (63.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
0.0b
(sinh.f64 y)
0.2b
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
0.2b
(*.f64 (sinh.f64 y) (/.f64 1 x))

series123.0ms (1.6%)

Counts
2 → 48
Calls

2 calls:

68.0ms
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
54.0ms
(*.f64 (sinh.f64 y) (/.f64 1 x))

rewrite33.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×associate-*r*_binary64
16×add-cbrt-cube_binary64
13×prod-exp_binary64
Counts
2 → 68
Calls

2 calls:

13.0ms
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
12.0ms
(*.f64 (sinh.f64 y) (/.f64 1 x))

simplify170.0ms (2.1%)

Algorithm
egg-herbie
Rules
810×fma-def_binary64
483×associate-*l/_binary64
377×fma-neg_binary64
305×associate-*r/_binary64
289×associate-/l*_binary64
Counts
116 → 133
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01902080
14891858
214871474
343991472
451941472

prune203.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1690169
Fresh044
Picked011
Done022
Total1697176
Error
0b
Counts
176 → 7
Alt Table
StatusErrorProgram
0.2b
(*.f64 (*.f64 (sinh.f64 y) (/.f64 1 x)) (sin.f64 x))
0.2b
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
12.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
37.3b
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) x)
0.1b
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
12.3b
(*.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
18.3b
(*.f64 (/.f64 (sinh.f64 y) x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
Compiler

Compiled 2777 to 1341 computations (51.7% saved)

regimes447.0ms (5.6%)

Accuracy

Total 0.1b remaining (70.1%)

Threshold costs 0.1b (70.1%)

Counts
67 → 1
Compiler

Compiled 3797 to 2237 computations (41.1% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
2811

end1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample4.2s (53.3%)

Algorithm
intervals
Results
1.2s1994×body1024invalid
820.0ms6287×body128valid
404.0ms613×body1024valid
311.0ms939×body512invalid
243.0ms688×body512valid
108.0ms493×body256invalid
102.0ms751×body128invalid
97.0ms412×body256valid
1.0msbody2048invalid
Compiler

Compiled 108 to 69 computations (36.1% saved)

Profiling

Loading profile data...